LogarithmPlotter/LogarithmPlotter/qml/eu/ad5001/LogarithmPlotter/js/objs/function.js
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/**
* LogarithmPlotter - 2D plotter software to make BODE plots, sequences and distribution functions.
* Copyright (C) 2022 Ad5001
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
.pragma library
.import "common.js" as Common
.import "../utils.js" as Utils
.import "../mathlib.js" as MathLib
.import "../parameters.js" as P
class Function extends Common.ExecutableObject {
static type(){return 'Function'}
static displayType(){return qsTr('Function')}
static displayTypeMultiple(){return qsTr('Functions')}
/*static properties() {return {
'expression': 'Expression',
'definitionDomain': 'Domain',
'destinationDomain': 'Domain',
'comment1': 'Ex: R+* (ℝ⁺*), N (), Z-* (ℤ⁻*), ]0;1[, {3;4;5}',
'labelPosition': P.Enum.Position,
'displayMode': new P.Enum('application', 'function'),
'labelX': 'number',
'comment2': 'The following parameters are used when the definition domain is a non-continuous set. (Ex: , , sets like {0;3}...)',
'drawPoints': 'boolean',
'drawDashedLines': 'boolean'
}}*/
static properties() {return {
[QT_TRANSLATE_NOOP('prop','expression')]: 'Expression',
[QT_TRANSLATE_NOOP('prop','definitionDomain')]: 'Domain',
[QT_TRANSLATE_NOOP('prop','destinationDomain')]: 'Domain',
'comment1': QT_TRANSLATE_NOOP(
'comment',
'Ex: R+* (ℝ⁺*), N (), Z-* (ℤ⁻*), ]0;1[, {3;4;5}'
),
[QT_TRANSLATE_NOOP('prop','labelPosition')]: P.Enum.Position,
[QT_TRANSLATE_NOOP('prop','displayMode')]: P.Enum.FunctionDisplayType,
[QT_TRANSLATE_NOOP('prop','labelX')]: 'number',
'comment2': QT_TRANSLATE_NOOP(
'comment',
'The following parameters are used when the definition domain is a non-continuous set. (Ex: , , sets like {0;3}...)'
),
[QT_TRANSLATE_NOOP('prop','drawPoints')]: 'boolean',
[QT_TRANSLATE_NOOP('prop','drawDashedLines')]: 'boolean'
}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
expression = 'x', definitionDomain = 'RPE', destinationDomain = 'R',
displayMode = 'application', labelPosition = 'above', labelX = 1,
drawPoints = true, drawDashedLines = true) {
if(name == null) name = Common.getNewName('fghjqlmnopqrstuvwabcde')
super(name, visible, color, labelContent)
this.type = 'Function'
if(typeof expression == 'number' || typeof expression == 'string') expression = new MathLib.Expression(expression.toString())
this.expression = expression
if(typeof definitionDomain == 'string') definitionDomain = MathLib.parseDomain(definitionDomain)
this.definitionDomain = definitionDomain
if(typeof destinationDomain == 'string') destinationDomain = MathLib.parseDomain(destinationDomain)
this.destinationDomain = destinationDomain
this.displayMode = displayMode
this.labelPosition = labelPosition
this.labelX = labelX
this.drawPoints = drawPoints
this.drawDashedLines = drawDashedLines
}
getReadableString() {
if(this.displayMode == 'application') {
return `${this.name}: ${this.definitionDomain}${this.destinationDomain}\n ${' '.repeat(this.name.length)}x ⟼ ${this.expression.toString()}`
} else {
return `${this.name}(x) = ${this.expression.toString()}\nD${Utils.textsub(this.name)} = ${this.definitionDomain}`
}
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent,
this.expression.toEditableString(), this.definitionDomain.toString(), this.destinationDomain.toString(),
this.displayMode, this.labelPosition, this.labelX, this.drawPoints, this.drawDashedLines]
}
execute(x = 1) {
if(this.definitionDomain.includes(x))
return this.expression.execute(x)
return null
}
canExecute(x = 1) {
return this.definitionDomain.includes(x)
}
simplify(x = 1) {
if(this.definitionDomain.includes(x))
return this.expression.simplify(x)
return ''
}
draw(canvas, ctx) {
Function.drawFunction(canvas, ctx, this.expression, this.definitionDomain, this.destinationDomain, this.drawPoints, this.drawDashedLines)
// Label
var text = this.getLabel()
ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
var posX = canvas.x2px(this.labelX)
var posY = canvas.y2px(this.execute(this.labelX))
switch(this.labelPosition) {
case 'above':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY-textSize.height)
break;
case 'below':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY+textSize.height)
break;
case 'left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height/2)
break;
case 'right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height/2)
break;
case 'above-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height)
break;
case 'above-right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height)
break;
case 'below-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY+textSize.height)
break;
case 'below-right':
canvas.drawVisibleText(ctx, text, posX, posY+textSize.height)
break;
}
}
static drawFunction(canvas, ctx, expr, definitionDomain, destinationDomain, drawPoints = true, drawDash = true) {
// Reusable in other objects.
// Drawing small traits every 2px
var pxprecision = 0.2
var previousX = canvas.px2x(0)
var previousY;
if(definitionDomain instanceof MathLib.SpecialDomain && definitionDomain.moveSupported) {
// Point based functions.
previousX = definitionDomain.next(previousX)
if(previousX === null) previousX = definitionDomain.next(canvas.px2x(0))
previousY = expr.execute(previousX)
if(!drawPoints && !drawDash) return
while(previousX !== null && canvas.x2px(previousX) < canvas.canvasSize.width) {
// Reconverted for canvas to fix for logarithmic scales.
var currentX = definitionDomain.next(canvas.px2x(canvas.x2px(previousX)+pxprecision));
var currentY = expr.execute(currentX)
if(currentX === null) break;
if((definitionDomain.includes(currentX) || definitionDomain.includes(previousX)) &&
(destinationDomain.includes(currentY) || destinationDomain.includes(previousY))) {
if(drawDash)
canvas.drawDashedLine(ctx, canvas.x2px(previousX), canvas.y2px(previousY), canvas.x2px(currentX), canvas.y2px(currentY))
if(drawPoints) {
ctx.fillRect(canvas.x2px(previousX)-5, canvas.y2px(previousY)-1, 10, 2)
ctx.fillRect(canvas.x2px(previousX)-1, canvas.y2px(previousY)-5, 2, 10)
}
}
previousX = currentX
previousY = currentY
}
if(drawPoints) {
// Drawing the last cross
ctx.fillRect(canvas.x2px(previousX)-5, canvas.y2px(previousY)-1, 10, 2)
ctx.fillRect(canvas.x2px(previousX)-1, canvas.y2px(previousY)-5, 2, 10)
}
} else {
previousY = expr.execute(previousX)
for(var px = pxprecision; px < canvas.canvasSize.width; px += pxprecision) {
var currentX = canvas.px2x(px)
var currentY = expr.execute(currentX)
if((definitionDomain.includes(currentX) || definitionDomain.includes(previousX)) &&
(destinationDomain.includes(currentY) || destinationDomain.includes(previousY)) &&
Math.abs(previousY-currentY)<100) {
canvas.drawLine(ctx, canvas.x2px(previousX), canvas.y2px(previousY), canvas.x2px(currentX), canvas.y2px(currentY))
}
previousX = currentX
previousY = currentY
}
}
}
}